Question

Write a quadratic function f whose zeros are 8 and -3.

Answer 1

f(x) = x^2 - 5x - 24.

Explanation:

In factor form that would be:

f(x) = (x - 8)(x + 3)

f(x) = x(x + 3) - 8(x + 3)

= x^2 + 3x - 8x - 24

f(x) = x^2 - 5x - 24.

Answer 2

f(x) = x² - 5x - 24

Explanation:

Step 1: Define

Roots/zeros = 8, -3

Step 2: Rewrite

x = 8, -3

Step 3: Write quadratic function

1. Set zeros into factored binomials: (x + 3)(x - 8)
2. Expand: x² - 8x + 3x - 24
3. Combine like terms: x² - 5x - 24